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Theorems · Theorem · combinatorics

Matroid.delete_isColoop_iff

∀ {α : Type u_1} {e : α} (M : Matroid α) (D : Set α),
  (M.delete D).IsColoop e ↔ e ∉ M.closure ((M.E \ D) \ {e}) ∧ e ∈ M.E ∧ e ∉ D
Defined in
Mathlib.Combinatorics.Matroid.Minor.Delete
Cited by
0 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.closure · cited by 272Matroid.closureSet.sdiff_subset · cited by 156Set.sdiff_subsetMatroid.delete · cited by 86Matroid.deleteMatroid.IsColoop · cited by 38Matroid.IsColoopSet.mem_sdiff · cited by 31Set.mem_sdiffMatroid.delete_eq_restrict · cited by 4Matroid.delete_eq_restrictMatroid.restrict_isColoop_iff · cited by 1Matroid.restrict_isColoop…Matroid.delete_isColoop_iffCITED BYCITES

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